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Simplifying -10(89) + 65x = 5(x + -10) Multiply -10 * 89 -890 + 65x = 5(x + -10) Reorder the terms: -890 + 65x = 5(-10 + x) -890 + 65x = (-10 * 5 + x * 5) -890 + 65x = (-50 + 5x) Solving -890 + 65x = -50 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -890 + 65x + -5x = -50 + 5x + -5x Combine like terms: 65x + -5x = 60x -890 + 60x = -50 + 5x + -5x Combine like terms: 5x + -5x = 0 -890 + 60x = -50 + 0 -890 + 60x = -50 Add '890' to each side of the equation. -890 + 890 + 60x = -50 + 890 Combine like terms: -890 + 890 = 0 0 + 60x = -50 + 890 60x = -50 + 890 Combine like terms: -50 + 890 = 840 60x = 840 Divide each side by '60'. x = 14 Simplifying x = 14
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